Download Infinite Algebra 1 - HW49 Solving Quadratics by Square Root

Algebra 1
Name___________________________________
©Z \2D0c1Z7j rKtuitxai USIopfStOwwaorMep WLLLGCU._ e GABlQlB irgi]guhktNsW wrTeCsWexrjvZeudS.
HW49 Solving Quadratics by Square Root
Date________________ Period____
Solve each equation by taking square roots. Leave answers as square roots and calculate the
decimal approximation to the nearest thousandth.
Be on the lookout for equations with no solution!
1) v 2 = -57
2) p 2 = 9
3) b 2 = 61
4) n 2 = 56
5) k 2 = 49
6) v 2 - 8 = 17
7) k 2 - 2 = -7
8) 9x 2 = 45
9) k 2 - 1 = 15
10) 10n 2 = -200
11) 2n 2 = 128
12) -5x 2 = -65
13) p 2 - 2 = 14
14) n 2 - 9 = -5
15) 5n 2 = 215
16) 3n 2 - 8 = 292
17) 4v 2 + 4 = 8
18) 2a 2 - 9 = 133
19) 5x 2 + 9 = -48
20) 9m 2 + 8 = 152
21) -8 + 9x 2 = 41
22) 3x 2 + 5 = 113
23) 3x 2 - 10 = 65
24) 5m 2 + 5 = 430
25) 8x 2 - 6 = 794
26) ( x - 1) = 9
2
27) ( x - 3) = 16
2
29) (3n) = 81
2
2
28) ( x + 5) = 100
2
30) (2x + 1) = 49
Worksheet by Kuta Software LLC
-1-
©a Q2I0E1D7T kK\uTtsaL gSyoLfXtDwzaWrveA ILJL`Ca.^ k VAslKlQ GrciKgoh_tGsd wrreWsCewrQvwepdG.V g FMJald[eJ PwTiGtEhi LIvntfwimnaiEtiec oA`lAg[eebYrraH J1X.
Find the slope of the line through each pair of points.
31) (6, -10), (4, 12)
32) (19, -11), (11, 4)
Solve each equation.
33) -10r = 10
34)
35) -4 + k = 1
k
=1
4
36) 5 + n = 2
Solve each inequality and graph its solution.
37)
-16
b
£5
3
-12
-8
38) v + 1 ³ 2
-6 -5 -4 -3 -2 -1
-4
0
4
8
12
0
1
2
3
4
5
6
16
Solve each compound inequality and graph its solution.
40) n + 1 ³ 11 or n + 1 < 4
39) 2 < 2x £ 14
-2 -1
0
1
2
3
4
5
6
7
8
9
41) -9 < -1 + a £ 3
-10
-8
-6
-4
10
-2
0
2
4
6
8
10
12
14
42) -6b > -12 and b - 9 > -18
-2
0
2
4
-10
-8
-6
-4
-2
0
2
4
Worksheet by Kuta Software LLC
-2-
©L D2x0X1B7P _KauWtMaL aSfohfztiwZaVrQey JLyLICt.] N rABlXlo orNiCgxhUtvsR arxebsWeBrZvYexd[.A c cMEaXdwec HwLiltShp OItnwfNitniirtXeC gAVlIgfedbQrdaK W1g.